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Beliebt Rechnen >

3/16 y^{''}+y=4cos(7t)+6

Lösung

\frac{3}{16} y^{^{''}} + y = 4 cos (7 t) + 6

Lösung

y = c_{1} cos (\frac{4 t}{3}) + c_{2} sin (\frac{4 t}{3}) - \frac{64}{131} cos (7 t) + 6

Schritte zur Lösung

\frac{3}{16} y^{''} (t) + y = 4 cos (7 t) + 6

Solve linear ODE:

y = c_{1} cos (\frac{4 t}{3}) + c_{2} sin (\frac{4 t}{3}) - \frac{64}{131} cos (7 t) + 6

y = c_{1} cos (\frac{4 t}{3}) + c_{2} sin (\frac{4 t}{3}) - \frac{64}{131} cos (7 t) + 6

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-7(dy)/(dx)+9y=xe^x

\frac{d ^{2} y}{d x ^{2}} - 7 \frac{d y}{d x} + 9 y = x e^{x}

y^{''}-5y^'+6y=x^2-3x+1

y^{^{''}} - 5 y^{^{'}} + 6 y = x^{2} - 3 x + 1

y^{''}-y=3x^2+2x-e^x

y^{^{''}} - y = 3 x^{2} + 2 x - e^{x}

y^{''}+2y^'+2y=e^{-1}

y^{^{''}} + 2 y^{^{'}} + 2 y = e^{- 1}

2y^{''}+3y^'-2y=-8x-13,y(0)=0,y^'(0)=0

2 y^{^{''}} + 3 y^{^{'}} - 2 y = - 8 x - 13, y (0) = 0, y^{^{'}} (0) = 0